Acta Stereologica

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Ivan Saxl & Jan Rataj

Spherical contact and nearest neighbour distances in Boolean cluster fields

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Abstract

First, Boolean cluster fields in Rd with grains being point clusters of several types (random points within a d—ball, random or regular points on a d—sphere, fixed or Poisson distributed number of points) are introduced. Then the formulae for spherical contact distance distribution function, its hazard rate, recluse probability of cluster and the nearest neighbour distance distribution function in such point fields are given. Finally, the statistical testing of cluster fields is briefly covered.

Keywords : Boolean cluster, hazard rate, nearest neighbour distance, recluse probability, spherical contact distance

To cite this article

Ivan Saxl & Jan Rataj, «Spherical contact and nearest neighbour distances in Boolean cluster fields», Acta Stereologica [En ligne], Volume 15 (1996), Number 1 - Mathematical foundations of stereology - Feb. 1996, 91-96 URL : https://popups.ulg.ac.be/0351-580x/index.php?id=466.

About: Ivan Saxl

Mathematical Institute, Acad. Sci. of the Czech Republic, Žitná 25, CS-115 67 Praha 1, Czech Republic

About: Jan Rataj

Charles University, Sokolovská 83, CS-186 O0 Praha 8, Czech Republic